Positive linear maps on Hilbert space operators and noncommutative Lp spaces
Operator Algebras
2020-04-24 v1 Functional Analysis
Abstract
We extend some inequalities for normal matrices and positive linear maps related to the Russo-Dye theorem. The results cover the case of some positive linear maps on a von Neumann algebra mapping any nonzero operator to an unbounded operator.
Cite
@article{arxiv.2004.10751,
title = {Positive linear maps on Hilbert space operators and noncommutative Lp spaces},
author = {Jean-Christophe Bourin and Jingjing Shao},
journal= {arXiv preprint arXiv:2004.10751},
year = {2020}
}